Submitted by Mohammad ElKammash

Probability Level 4

Find the coefficient of x9x^{9} in the expansion of (2+x)10(1+x)0+(2+x)9(1+x)+(2+x)8(1+x)2++(2+x)0(1+x)10.(2+x)^{10}(1+x)^0+(2+x)^{9}(1+x)+(2+x)^{8}(1+x)^{2}+ \ldots + (2+x)^0(1+x)^{10}.

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